Let fi:R → Rand 52:C → C are two functions
such that fi(x)= xand f2(x)= x3. Prove that
fi and f2 are not same.
Answer.me. please...
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Answer:
I ignored the RR and CC at the beginning, so I messed up.
Step-by-step explanation:
See,
R is the Set of Real Numbers.
C is the set of Complex numbers.
First function
So, the first function is from R to R.
Which means that if I input 2 to the first function, it will output 8.
If I input i to the function, it will be meaningless.
Second function
The second function is from C to C,
Which means that it takes ONLY COMPLEX NUMBERS and returns ONLY COMPLEX NUMBERS.
If I input i to the function, it will return me - i (i³)
Inputting 2 to this function will be meaningless.
Hence, these two functions are not same.
BUT I'LL NOT SAY THAT THESE FUNCTIONS ARE DIFFERENT.
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